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Within each variant, diversity and divergence increase linearly with time. The rate of synonymous evolution is around 6 changes per year in all variants, while the non-synonymous rate varies from variant to variant.
Since 2017, the lineage leading to the recent samples has a peculiar mutation pattern where almost all mutations are G->A or C->T. Furthermore, they almost all occur in specific sequence contexts as Andrew Rambaut discusses here:
Nick @n_b_noll has developed a PanPraph for scalable construction of pan-genome graphs from closely related bacterial genomes or plasmids. 2/
Pierre Barrat has developed am algorithm to infer reassortments between two segments of influenza viruses.
https://twitter.com/richardneher/status/1293857065425866754
Comparing the age distributions of confirmed cases in Switzerland before and after June 1st, you see a strong shift towards young adults and very few cases in people >70y.
The 2009 H1N1 influenza pandemic might offer some clues. H1N1pdm is much less deadly, but much like #SARSCoV2 it
Pierre found that this is not typical behavior. Mutation trajectories of H3N2 in the last 20y that rapidly rose from 0 to 30% in frequency show no trend of increasing further in frequency. The fixation probability of a mutation at frequency x is almost exactly x! [2/7] 
The graph shows a simple estimate of prevalence assuming an IFR of 0.5% and the same delay to death and seroconversion. The numbers are for countries, states, or regions. There is considerable variation within these and seroprevalence depends a lot on the population tested.
We don't see a similarly pronounced deceleration in the number of fatalities. Fatalities are expected to lag behind case counts, so this is not unexpected. [2/6]